Geometric Sequences

Which kind of sequence has a common ratio?

• Arithmetic
• Geometric

What is the common ratio: 5, 25, 125, 625...

• 25
• 20
• 5
• 4

What is a_{5 (5th term)} in the sequence defined as follows? a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160
• a₅ = 40
• a₅ = 10
• a₅ = 80

What is the explicit rule for the geometric sequence: 11, 22, 44, 88...

• a_n = 2(11)^n-1

• a_n = 11(2)

• a_n = 11(2)^n-1

What is the common ratio of this sequence?
{2, 10, 50, 250, ... }

• 1,250
• 5
• 10
• 50

The next term of the geometric sequence

4, 16, 64, ...

is

• 256

• 132

• 120

• 150

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916
• 972, 2916, 8748
• 405, 1215, 3645

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

• 384

• 512

• 768

• 1,024

Write the explicit equation for the geometric sequence: 15, 45, 135, . . . ?